Respuesta :
The possible dates of the meeting can be obtained using factors or
using a calendar.
The possible dates are;
- 4th and 11th of January and 1st and 8th of February
- 1st and 8th of February and 1st and 8th of March
- The reason why the arrangement could not have happened in 2020 is that a Monday comes before a Sunday only in June 2020.
Which methods is used to find the actual dates of the meetings?
The first day of 2021 is a Friday.
The first Monday of January 2021 is on the 4th
It takes 27 days to the end of the month of January from the 4th and on
the 28th day (factor of 7) is a Monday.
Therefore;
On the 1st day of February, 2021 is a Monday, which gives;
The possible dates are;
- 4th and 11th of January and 1st and 8th of February.
2021 is a normal year, therefore, another possible pair of dates are;
- 1st and 8th of February and 1st and 8th of March.
The rest of the months of 2021 Sundays come before Monday except in November.
The first day of 2020 is on a Wednesday, such that Sunday comes on
the 5th. In 4 weeks, on the 2nd of February, a Sunday comes before a
Monday. 2020 is a leap year, therefore, in March, a Sunday comes on
the 1st, before a Monday and the last Monday is on the 30th, such that in
April, a Sunday comes on the 5th, before a Monday.
Therefore, a Sunday comes before a Monday in May.
- Only in June 2020, does a Monday comes before a Sunday.
Therefore, the arrangements of Mondays could not have happened in
2020.
In summary, the day number of the first day of each month are;
1, 32, 61, 92, 122, 153, 183, 214, 245, 275, 306, 336, 367
The day number of the Sundays are;
5, 33, 61, 96, 124, 159, 187, 215, 250, 278, 306, 334, 362,
Therefore, the month the difference between the staring day of the
month and the first Sunday of the month is 6 is the month in which a
Monday comes before a Sunday, which is in June.
Learn more about factors here:
https://brainly.com/question/83678
